One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

Investigate the number of faces you can see when you arrange three cubes in different ways.

Dotty Six is a simple dice game that you can adapt in many ways.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

My cube has inky marks on each face. Can you find the route it has taken? What does each face look like?

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Use the information on these cards to draw the shape that is being described.

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

There are nasty versions of this dice game but we'll start with the nice ones...

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

What can you see? What do you notice? What questions can you ask?

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

How many solutions can you find to this sum? Each of the different letters stands for a different number.